102972311 has 16 divisors (see below), whose sum is σ = 116276160. Its totient is φ = 90478080.

The previous prime is 102972299. The next prime is 102972319. The reversal of 102972311 is 113279201.

It is a cyclic number.

It is not a de Polignac number, because 102972311 - 2²⁶ = 35863447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102972319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71345 + ... + 72773.

It is an arithmetic number, because the mean of its divisors is an integer number (7267260).

Almost surely, 2^102972311 is an apocalyptic number.

102972311 is a deficient number, since it is larger than the sum of its proper divisors (13303849).

102972311 is a wasteful number, since it uses less digits than its factorization.

102972311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 102972311 is about 10147.5273342820. The cubic root of 102972311 is about 468.7128066252.

The spelling of 102972311 in words is "one hundred two million, nine hundred seventy-two thousand, three hundred eleven".